The following questions (MCQ) on vectors were included in the AIPMT 2010 question paper:
(2) b + c = f
(3) d + c = f
(4) d + e = f
The correct option is (4) as is clear from the adjoining figure
(2) A particle has initial velocity (3î + 4ĵ) and has acceleration (0.4î + 0.3ĵ). Its speed after 10 s is
(1) 10 units
(2) 7 units
(3) 7√2 units
(4) 8.5 units
We have v = u + at with usual notations.
Therefore the velocity after 10 s is given by
v = (3î + 4ĵ) + (0.4î + 0.3ĵ)10 = 7î + 7ĵ
The speed after 10 s is the magnitude of the above velocity vector and is equal to √(72 + 72) = 7√2 units [Option (3)].
Now see these questions (MCQ) on vectors.